Some embodiments include an integrated capacitor assembly having a conductive pillar supported by a base, with the conductive pillar being included within a first electrode of a capacitor. The conductive pillar has a first upper surface. A dielectric liner is along an outer surface of the conductive pillar and has a second upper surface. A conductive liner is along the dielectric liner and is included within a second electrode of the capacitor. The conductive liner has a third upper surface. One of the first and third upper surfaces is above the other of the first and third upper surfaces. The second upper surface is at least as high above the base as said one of the first and third upper surfaces. Some embodiments include memory arrays having capacitors with pillar-type first electrodes.